In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

'The total surface area of a cube is 600 sq cm, what will be the length of its diagonal?

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is:

The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

ABC is an isosceles triangle such that AB = AC and ∠B = 35°. AD is the median to the base BC. Then ∠BAD is

PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:

In a triangle, if three altitudes are equal, then the triangle is 

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?